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Finding the Fourth Proportional to 713, 983.61 and 418.13

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Solution

The fourth proportional to 713, 983.61 and 418.13 is: 576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713 : 983.61 = 418.13 : x
  2. Step 2: Convert to fraction form
    713/983.61 = 418.13/x
  3. Step 3: Cross multiply
    713x = 983.61 × 418.13
  4. Step 4: Simplify right side
    713x = 411,276.85
  5. Step 5: Solve for x
    x = 411,276.85/713
  6. Step 6: Final answer
    x = 576.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.